Level 3 The figure, not drawn to scale, is made up of 2 squares. The length of each square is a whole number. The shaded area is 161 cm
2. Find the perimeter of the bigger square.
Length of Small Square |
Area of Small Square |
Area of Big Square |
Length of Big Square |
Is the length of big square a whole number? |
2 |
2 x 2 = 4 |
4 + 161 = 165 |
√165 ≈ 12.85 |
No (x) |
5 |
5 x 5 = 25 |
25 + 161 = 186 |
√186 ≈ 13.64 |
No (x) |
8 |
8 x 8 = 64 |
64 + 161 = 225 |
√225 = 15 |
Yes (✓) |
Length of the smaller square = 8 cm
Area of the smaller square = 64 cm
2
Area of the bigger square
= 64 + 161
= 225 cm
2 Length of the bigger square
= √225
= 15 cm (It is a whole number.)
Perimeter of the bigger square
= 4 x 15
= 60 cm
Answer(s): 60 cm